SOLUTION: How would you write a function that represents the profit, using the revenue and cost functions? Info: Carol Coffmon owns a store where she sells birdhouses. The revenue from b

Algebra ->  Test -> SOLUTION: How would you write a function that represents the profit, using the revenue and cost functions? Info: Carol Coffmon owns a store where she sells birdhouses. The revenue from b      Log On


   

Question 1036808: How would you write a function that represents the profit, using the revenue and cost functions?
Info: Carol Coffmon owns a store where she sells birdhouses. The revenue from birdhouse sales is given by +r%28x%29+=+125x+ The cost of making birdhouses is given by +c%28x%29+=+65x+%2B+5400+ Her profit +p+ is the revenue minus the cost or +p+=+r+-+c+ So the profit function +p%28x%29+ can be defined as +p%28x%29+=+%28r+-+c%29%28x%29+

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Return your attention to the separate functions.

system%28r%28x%29=125x%2Cc%28x%29=65x%2B5400%2Cp%28x%29=r%28x%29-c%28x%29%29
Understand very well what function notation looks like and means.

Changing from r%28x%29-c%28x%29 to %28r-c%29%28x%29 is wrong. Substitute the definition for the two functions and simplify that expression.



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You have the symbolized definitions for the functions r(x) and c(x). SUBSTITUTE THEM in the expression for p(x).